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Finding the Fourth Proportional to 121,678.20, 167,914.12 and 67,964

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Solution

The fourth proportional to 121,678.20, 167,914.12 and 67,964 is: 93,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,678.20 : 167,914.12 = 67,964 : x
  2. Step 2: Convert to fraction form
    121,678.20/167,914.12 = 67,964/x
  3. Step 3: Cross multiply
    121,678.20x = 167,914.12 × 67,964
  4. Step 4: Simplify right side
    121,678.20x = 11,412,115,251.68
  5. Step 5: Solve for x
    x = 11,412,115,251.68/121,678.20
  6. Step 6: Final answer
    x = 93,789.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.